On the solution of inverse heat transfer problem using the Karhunen-Loève Galerkin method (Q1973034)
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scientific article; zbMATH DE number 1436767
| Language | Label | Description | Also known as |
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| English | On the solution of inverse heat transfer problem using the Karhunen-Loève Galerkin method |
scientific article; zbMATH DE number 1436767 |
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On the solution of inverse heat transfer problem using the Karhunen-Loève Galerkin method (English)
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15 January 2001
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An inverse problem for determining the right-hand side (time-varying heat source) in a two-dimensional unsteady heat conduction problem with interior measurements is considered. As the problem is ill-posed, the authors use the conjugate gradient method with a stopping criterion based on the discrepancy principle to solve it in a stable way. The Karhunen-Loève Galerkin procedure is used to implement the method numerically.
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ill-posed problem
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inverse problem
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unsteady heat conduction problem
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conjugate gradient method
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discrepancy principle
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Karhunen-Loève Galerkin procedure
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